Solve 14,658/21

$$\frac { 14,658 } { 21 }$$

Evaluate

$$698$$

Steps For Long Division Method

Use the 1^{st} digit 1 from dividend 14658

$$\begin{array}{l}\phantom{21)}\phantom{1}\\21\overline{)14658}\\\end{array}$$

Since 1 is less than 21, use the next digit 4 from dividend 14658 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}0\phantom{2}\\21\overline{)14658}\\\end{array}$$

Use the 2^{nd} digit 4 from dividend 14658

$$\begin{array}{l}\phantom{21)}0\phantom{3}\\21\overline{)14658}\\\end{array}$$

Since 14 is less than 21, use the next digit 6 from dividend 14658 and add 0 to the quotient

$$\begin{array}{l}\phantom{21)}00\phantom{4}\\21\overline{)14658}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 14658

$$\begin{array}{l}\phantom{21)}00\phantom{5}\\21\overline{)14658}\\\end{array}$$

Find closest multiple of 21 to 146. We see that 6 \times 21 = 126 is the nearest. Now subtract 126 from 146 to get reminder 20. Add 6 to quotient.

$$\begin{array}{l}\phantom{21)}006\phantom{6}\\21\overline{)14658}\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}20\\\end{array}$$

Use the 4^{th} digit 5 from dividend 14658

$$\begin{array}{l}\phantom{21)}006\phantom{7}\\21\overline{)14658}\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}205\\\end{array}$$

Find closest multiple of 21 to 205. We see that 9 \times 21 = 189 is the nearest. Now subtract 189 from 205 to get reminder 16. Add 9 to quotient.

$$\begin{array}{l}\phantom{21)}0069\phantom{8}\\21\overline{)14658}\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}205\\\phantom{21)}\underline{\phantom{9}189\phantom{9}}\\\phantom{21)99}16\\\end{array}$$

Use the 5^{th} digit 8 from dividend 14658

$$\begin{array}{l}\phantom{21)}0069\phantom{9}\\21\overline{)14658}\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}205\\\phantom{21)}\underline{\phantom{9}189\phantom{9}}\\\phantom{21)99}168\\\end{array}$$

Find closest multiple of 21 to 168. We see that 8 \times 21 = 168 is the nearest. Now subtract 168 from 168 to get reminder 0. Add 8 to quotient.

$$\begin{array}{l}\phantom{21)}00698\phantom{10}\\21\overline{)14658}\\\phantom{21)}\underline{\phantom{}126\phantom{99}}\\\phantom{21)9}205\\\phantom{21)}\underline{\phantom{9}189\phantom{9}}\\\phantom{21)99}168\\\phantom{21)}\underline{\phantom{99}168\phantom{}}\\\phantom{21)99999}0\\\end{array}$$

Since 0 is less than 21, stop the division. The reminder is 0. The topmost line 00698 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 698.

$$\text{Quotient: }698 \text{Reminder: }0$$

Factor

$$2\times 349$$